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Finding the Fourth Proportional to 65,192.32, 89,965.38 and 35,384.32

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Solution

The fourth proportional to 65,192.32, 89,965.38 and 35,384.32 is: 48,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,192.32 : 89,965.38 = 35,384.32 : x
  2. Step 2: Convert to fraction form
    65,192.32/89,965.38 = 35,384.32/x
  3. Step 3: Cross multiply
    65,192.32x = 89,965.38 × 35,384.32
  4. Step 4: Simplify right side
    65,192.32x = 3,183,363,794.84
  5. Step 5: Solve for x
    x = 3,183,363,794.84/65,192.32
  6. Step 6: Final answer
    x = 48,830.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.